TSTP Solution File: SYN110-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN110-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May  1 04:33:20 EDT 2024

% Result   : Unsatisfiable 0.60s 0.78s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   41 (  10 unt;   0 def)
%            Number of atoms       :   87 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   97 (  51   ~;  41   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   14 (  13 usr;   6 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   30 (  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1030,plain,
    $false,
    inference(avatar_sat_refutation,[],[f871,f877,f931,f978,f998,f1021]) ).

fof(f1021,plain,
    ( ~ spl0_79
    | ~ spl0_122 ),
    inference(avatar_contradiction_clause,[],[f1020]) ).

fof(f1020,plain,
    ( $false
    | ~ spl0_79
    | ~ spl0_122 ),
    inference(resolution,[],[f1001,f508]) ).

fof(f508,plain,
    ! [X10] : q1(e,X10,X10),
    inference(subsumption_resolution,[],[f507,f19]) ).

fof(f19,axiom,
    ! [X0,X1] : m0(X0,d,X1),
    file('/export/starexec/sandbox/tmp/tmp.jszga2ORu3/Vampire---4.8_32530',axiom_19) ).

fof(f507,plain,
    ! [X10] :
      ( ~ m0(X10,d,X10)
      | q1(e,X10,X10) ),
    inference(subsumption_resolution,[],[f145,f19]) ).

fof(f145,axiom,
    ! [X10] :
      ( ~ m0(e,d,X10)
      | ~ m0(X10,d,X10)
      | q1(e,X10,X10) ),
    file('/export/starexec/sandbox/tmp/tmp.jszga2ORu3/Vampire---4.8_32530',rule_107) ).

fof(f1001,plain,
    ( ! [X0] : ~ q1(X0,a,a)
    | ~ spl0_79
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f999,f699]) ).

fof(f699,plain,
    ( k1(a)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f698]) ).

fof(f698,plain,
    ( spl0_79
  <=> k1(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f999,plain,
    ( ! [X0] :
        ( ~ k1(a)
        | ~ q1(X0,a,a) )
    | ~ spl0_122 ),
    inference(resolution,[],[f977,f167]) ).

fof(f167,axiom,
    ! [X3,X10] :
      ( k2(X3,X3)
      | ~ q1(X10,X3,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.jszga2ORu3/Vampire---4.8_32530',rule_129) ).

fof(f977,plain,
    ( ! [X0] :
        ( ~ k2(X0,a)
        | ~ k1(X0) )
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f976]) ).

fof(f976,plain,
    ( spl0_122
  <=> ! [X0] :
        ( ~ k1(X0)
        | ~ k2(X0,a) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f998,plain,
    ( ~ spl0_119
    | ~ spl0_121 ),
    inference(avatar_contradiction_clause,[],[f997]) ).

fof(f997,plain,
    ( $false
    | ~ spl0_119
    | ~ spl0_121 ),
    inference(resolution,[],[f996,f33]) ).

fof(f33,axiom,
    q0(d,c),
    file('/export/starexec/sandbox/tmp/tmp.jszga2ORu3/Vampire---4.8_32530',axiom_33) ).

fof(f996,plain,
    ( ! [X0] : ~ q0(X0,c)
    | ~ spl0_119
    | ~ spl0_121 ),
    inference(subsumption_resolution,[],[f985,f870]) ).

fof(f870,plain,
    ( m1(c,c,c)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f868]) ).

fof(f868,plain,
    ( spl0_119
  <=> m1(c,c,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f985,plain,
    ( ! [X0] :
        ( ~ q0(X0,c)
        | ~ m1(c,c,c) )
    | ~ spl0_121 ),
    inference(resolution,[],[f974,f428]) ).

fof(f428,plain,
    ! [X9,X4] :
      ( m1(X9,a,X4)
      | ~ q0(X9,X4)
      | ~ m1(X4,c,X4) ),
    inference(subsumption_resolution,[],[f62,f12]) ).

fof(f12,axiom,
    ! [X0] : m0(a,X0,a),
    file('/export/starexec/sandbox/tmp/tmp.jszga2ORu3/Vampire---4.8_32530',axiom_12) ).

fof(f62,axiom,
    ! [X9,X4,X5] :
      ( ~ m1(X4,c,X4)
      | ~ q0(X9,X4)
      | ~ m0(a,X5,a)
      | m1(X9,a,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.jszga2ORu3/Vampire---4.8_32530',rule_024) ).

fof(f974,plain,
    ( ! [X1] : ~ m1(X1,a,c)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f973]) ).

fof(f973,plain,
    ( spl0_121
  <=> ! [X1] : ~ m1(X1,a,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f978,plain,
    ( spl0_121
    | spl0_122 ),
    inference(avatar_split_clause,[],[f971,f976,f973]) ).

fof(f971,plain,
    ! [X0,X1] :
      ( ~ k1(X0)
      | ~ m1(X1,a,c)
      | ~ k2(X0,a) ),
    inference(resolution,[],[f165,f369]) ).

fof(f369,axiom,
    ~ k2(c,a),
    file('/export/starexec/sandbox/tmp/tmp.jszga2ORu3/Vampire---4.8_32530',prove_this) ).

fof(f165,axiom,
    ! [X8,X6,X9,X7] :
      ( k2(X6,X7)
      | ~ k1(X9)
      | ~ m1(X8,X7,X6)
      | ~ k2(X9,X7) ),
    file('/export/starexec/sandbox/tmp/tmp.jszga2ORu3/Vampire---4.8_32530',rule_127) ).

fof(f931,plain,
    spl0_79,
    inference(avatar_contradiction_clause,[],[f930]) ).

fof(f930,plain,
    ( $false
    | spl0_79 ),
    inference(resolution,[],[f910,f37]) ).

fof(f37,axiom,
    n0(b,a),
    file('/export/starexec/sandbox/tmp/tmp.jszga2ORu3/Vampire---4.8_32530',axiom_37) ).

fof(f910,plain,
    ( ! [X0] : ~ n0(X0,a)
    | spl0_79 ),
    inference(resolution,[],[f39,f700]) ).

fof(f700,plain,
    ( ~ k1(a)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f698]) ).

fof(f39,axiom,
    ! [X2,X3] :
      ( k1(X2)
      | ~ n0(X3,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.jszga2ORu3/Vampire---4.8_32530',rule_001) ).

fof(f877,plain,
    spl0_28,
    inference(avatar_split_clause,[],[f24,f478]) ).

fof(f478,plain,
    ( spl0_28
  <=> l0(c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f24,axiom,
    l0(c),
    file('/export/starexec/sandbox/tmp/tmp.jszga2ORu3/Vampire---4.8_32530',axiom_24) ).

fof(f871,plain,
    ( spl0_119
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f58,f478,f868]) ).

fof(f58,axiom,
    ( ~ l0(c)
    | m1(c,c,c) ),
    file('/export/starexec/sandbox/tmp/tmp.jszga2ORu3/Vampire---4.8_32530',rule_020) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14  % Problem    : SYN110-1 : TPTP v8.1.2. Released v1.1.0.
% 0.12/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.37  % Computer : n021.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Tue Apr 30 17:25:41 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a CNF_UNS_EPR_NEQ_HRN problem
% 0.16/0.38  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.jszga2ORu3/Vampire---4.8_32530
% 0.60/0.77  % (32757)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.60/0.77  % (32756)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.60/0.77  % (32750)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.60/0.77  % (32752)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.77  % (32753)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.60/0.77  % (32751)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.60/0.77  % (32754)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.60/0.77  % (32755)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.60/0.77  % (32753)Refutation not found, incomplete strategy% (32753)------------------------------
% 0.60/0.77  % (32753)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77  % (32753)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (32753)Memory used [KB]: 1272
% 0.60/0.77  % (32753)Time elapsed: 0.003 s
% 0.60/0.77  % (32753)Instructions burned: 3 (million)
% 0.60/0.77  % (32753)------------------------------
% 0.60/0.77  % (32753)------------------------------
% 0.60/0.77  % (32757)Refutation not found, incomplete strategy% (32757)------------------------------
% 0.60/0.77  % (32757)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77  % (32757)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (32757)Memory used [KB]: 1379
% 0.60/0.77  % (32757)Time elapsed: 0.004 s
% 0.60/0.77  % (32757)Instructions burned: 6 (million)
% 0.60/0.77  % (32757)------------------------------
% 0.60/0.77  % (32757)------------------------------
% 0.60/0.77  % (32750)Refutation not found, incomplete strategy% (32750)------------------------------
% 0.60/0.77  % (32750)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77  % (32750)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (32750)Memory used [KB]: 1310
% 0.60/0.77  % (32750)Time elapsed: 0.005 s
% 0.60/0.77  % (32750)Instructions burned: 5 (million)
% 0.60/0.77  % (32750)------------------------------
% 0.60/0.77  % (32750)------------------------------
% 0.60/0.77  % (32755)Refutation not found, incomplete strategy% (32755)------------------------------
% 0.60/0.77  % (32755)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77  % (32755)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (32755)Memory used [KB]: 1274
% 0.60/0.77  % (32755)Time elapsed: 0.005 s
% 0.60/0.77  % (32755)Instructions burned: 6 (million)
% 0.60/0.77  % (32755)------------------------------
% 0.60/0.77  % (32755)------------------------------
% 0.60/0.78  % (32754)Refutation not found, incomplete strategy% (32754)------------------------------
% 0.60/0.78  % (32754)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78  % (32754)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (32754)Memory used [KB]: 1421
% 0.60/0.78  % (32754)Time elapsed: 0.007 s
% 0.60/0.78  % (32754)Instructions burned: 10 (million)
% 0.60/0.78  % (32754)------------------------------
% 0.60/0.78  % (32754)------------------------------
% 0.60/0.78  % (32758)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.60/0.78  % (32760)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.60/0.78  % (32758)Refutation not found, incomplete strategy% (32758)------------------------------
% 0.60/0.78  % (32758)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78  % (32758)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (32758)Memory used [KB]: 1272
% 0.60/0.78  % (32758)Time elapsed: 0.003 s
% 0.60/0.78  % (32758)Instructions burned: 3 (million)
% 0.60/0.78  % (32758)------------------------------
% 0.60/0.78  % (32758)------------------------------
% 0.60/0.78  % (32759)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.60/0.78  % (32761)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.60/0.78  % (32756)Refutation not found, incomplete strategy% (32756)------------------------------
% 0.60/0.78  % (32756)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78  % (32756)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (32756)Memory used [KB]: 1556
% 0.60/0.78  % (32756)Time elapsed: 0.012 s
% 0.60/0.78  % (32756)Instructions burned: 20 (million)
% 0.60/0.78  % (32756)------------------------------
% 0.60/0.78  % (32756)------------------------------
% 0.60/0.78  % (32762)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.60/0.78  % (32752)First to succeed.
% 0.60/0.78  % (32752)Refutation found. Thanks to Tanya!
% 0.60/0.78  % SZS status Unsatisfiable for Vampire---4
% 0.60/0.78  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.78  % (32752)------------------------------
% 0.60/0.78  % (32752)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78  % (32752)Termination reason: Refutation
% 0.60/0.78  
% 0.60/0.78  % (32752)Memory used [KB]: 1565
% 0.60/0.78  % (32752)Time elapsed: 0.012 s
% 0.60/0.78  % (32752)Instructions burned: 18 (million)
% 0.60/0.78  % (32752)------------------------------
% 0.60/0.78  % (32752)------------------------------
% 0.60/0.78  % (32746)Success in time 0.399 s
% 0.60/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------